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From newadvent (the same source as the article)

First He taught them to recognize in Himself the Eternal Son of God. When His ministry was drawing to a close, He promised that the Father would send another Divine Person, the Holy Spirit, in His place. Finally after His resurrection, He revealed the doctrine in explicit terms, bidding them "go and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost" (Matthew 28:18). The force of this passage is decisive. That "the Father" and "the Son" are distinct Persons follows from the terms themselves, which are mutually exclusive. The mention of the Holy Spirit in the same series, the names being connected one with the other by the conjunctions "and . . . and" is evidence that we have here a Third Person co-ordinate with the Father and the Son, and excludes altogether the supposition that the Apostles understood the Holy Spirit not as a distinct Person, but as God viewed in His action on creatures.

Now in the non-Trinitarian category, we can place the levels as: 1. Does not believe Jesus is / was God

1. That he was just a prophet (Muslim inconsistent belief since they believe in the virgin birth)
2. that Jesus was a mn who got "possessed" by the Holy Spirit who left Him when He was dying (again repeated in the Koran)
2. DOES believe Jesus is God, but does not hold to the idea that there is a Triune God (God the Father, Son and Holy Spirit as three "persons" i.e. homousia with One divine Nature
1. That all are the same God seen incorectly by humans (like the Oneness Pentecostals)
2. That Jesus and the Holy Spirit are one and there are only 2 "persons" of God (Binitarianism)3. That Jesus is one of 2 or more gods.

The New Advent doctrine leaves a lot to be desired.

First He taught them to recognize in Himself the Eternal Son of God. When His ministry was drawing to a close, He promised that the Father would send another Divine Person, the Holy Spirit, in His place. Finally after His resurrection, He revealed the doctrine in explicit terms, bidding them "go and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost" (Matthew 28:18). The force of this passage is decisive. That "the Father" and "the Son" are distinct Persons follows from the terms themselves, which are mutually exclusive. The mention of the Holy Spirit in the same series, the names being connected one with the other by the conjunctions "and . . . and" is evidence that we have here a Third Person co-ordinate with the Father and the Son, and excludes altogether the supposition that the Apostles understood the Holy Spirit not as a distinct Person, but as God viewed in His action on creatures

The words translated "Holy Spirit" appear in both Old and New Testaments, as "ruakh haQodesh" (Hebrew and Aramaic) and "hagios pneumos" (Greek). Both mean "holy breath", and whereas God's messengers (angels or often Himself) act and speak, the rare appearances of the "holy spirit" are without word. Jesus' descriptions of the "holy spirit" are in the context of being a part of his composition.

Now in the non-Trinitarian category, we can place the levels as:

Does not believe Jesus is / was God

That he was just a prophet (Muslim inconsistent belief since they believe in the virgin birth)
that Jesus was a mn who got "possessed" by the Holy Spirit who left Him when He was dying (again repeated in the Koran)
DOES believe Jesus is God, but does not hold to the idea that there is a Triune God (God the Father, Son and Holy Spirit as three "persons" i.e. homousia with One divine Nature

All this supposition contradicts a verse from Psalm 82 (verse 6) that Jesus quotes in John 10:34. For reinforcement of those verses, see Deuteronomy 14:1. There is also Romans 8:29, where Jesus is described as "the firstborn among many brethren". How many sons does the Father intend to bring to birth, then? The agent of change is cited as the Holy Spirit, which is a part of God (see John 4:24).